What is the Least Common Multiple of 62930 and 62934?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 62930 and 62934 is 1980218310.
LCM(62930,62934) = 1980218310
Least Common Multiple of 62930 and 62934 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62930 and 62934, than apply into the LCM equation.
GCF(62930,62934) = 2
LCM(62930,62934) = ( 62930 × 62934) / 2
LCM(62930,62934) = 3960436620 / 2
LCM(62930,62934) = 1980218310
Least Common Multiple (LCM) of 62930 and 62934 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62930 and 62934. First we will calculate the prime factors of 62930 and 62934.
Prime Factorization of 62930
Prime factors of 62930 are 2, 5, 7, 29, 31. Prime factorization of 62930 in exponential form is:
62930 = 21 × 51 × 71 × 291 × 311
Prime Factorization of 62934
Prime factors of 62934 are 2, 3, 17, 617. Prime factorization of 62934 in exponential form is:
62934 = 21 × 31 × 171 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 62930 and 62934.
LCM(62930,62934) = 21 × 51 × 71 × 291 × 311 × 31 × 171 × 6171
LCM(62930,62934) = 1980218310
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